MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Multiplication of a Vector by a Scalar

If a̅ and ...

Question

If $¯ a$ and $¯ b$ are non-collinear unit vectors and $| ¯ a + ¯ b | = \sqrt{3}$ then $(2 ¯ a + 5 ¯ b) \cdot (3 ¯ a - ¯ b) = ?$

A

\frac{15}{4}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

B

\frac{15}{2}

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

C

15

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

16

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $\frac{15}{2}$

Suggest Corrections

thumbs-up

0

Similar questions

¯ a

¯ b

are non-collinear unit vectors and

∣ ∣ ¯ a + ¯ b ∣ ∣ = \sqrt{3}

(2 ¯ a + 5 ¯ b) \cdot (3 ¯ a - ¯ b) = ?

¯ a, ¯ b, ¯ c

are non-coplaner vectors, then prove that the vectors

3 ¯ a + ¯ b + ¯ c, 2 ¯ a + 2 ¯ b + 3 ¯ c, ¯ a + 3 ¯ b + 5 ¯ c

¯ a

¯ b

are non collinear vectors. If

¯ c = (x - 2) ¯ a + ¯ b

¯ d = (2 x + 1) ¯ a - ¯ b

are collinear vectors, then find the value of

x

¯ a

¯ b

are units vectors and

¯ c

2 (¯ a \times ¯ b) + ¯ c = ¯ b \times ¯ c

then the maximum value of

∣ ∣ (¯ a \times ¯ c) . ¯ b ∣ ∣

¯ a, ¯ b, ¯ c

are three non-zero vectors no two of which are collinear and the vector

¯ a + ¯ b

is collinear with

¯ c

¯ b + ¯ c

is collinear with

¯ a

¯ a + ¯ b + ¯ c

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Scalar Multiplication

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Multiplication of a Vector by a Scalar

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon